光轴取向任意时单轴晶体界面上的双折射

Double refraction at uniaxial crystal surfaces with arbitrary orientation of optical axis

根据入射光、反射光和折射光之间的位相匹配条件,利用晶体的折射率面,通过作图法,分析了光轴取向任意,自然光从各向同性介质入射到单轴晶体时界面上的反射和双折射.从图上直接得到了反射光波和折射光波的位置,然后利用几何关系,得到了光波反射角和光波折射角的解析表达式.根据介质中光波与光线的关系,进一步分析了反射光线和折射光线的位置,并给出了光波与光线的离散角、光线反射角和光线折射角的解析表达式.该方法简单直观,结果具有一般性.

Reflection and double refraction at uniaxial crystal surface with arbitrary orientation of opti- cal axis, when a natural light incident on the surface from isotropic media, are analysed through plot- ting, based on refractive index surface of uniaxial crystal and phase matching condition among inci- dent light, reflected light and refracted light. Directions of reflected wave and refracted wave can be plotted on the chart. Expressions of wave reflected angle and wave refracted angle are obtained by use of geometry. According to the relations of light wave and light ray in media, directions of reflec- ted ray and refracted ray are analyzed. Expressions of separation angle between light wave and light ray, ray reflected angle and ray refracted angle are given. The method is simple and visual. The for- mulae is representative.